{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PQ22IZARVIQ47BZJJ7MSDX6ERO","short_pith_number":"pith:PQ22IZAR","schema_version":"1.0","canonical_sha256":"7c35a46411aa21cf87294fd921dfc48b9c7311092538d0d3172785b063f7ee18","source":{"kind":"arxiv","id":"1603.06588","version":2},"attestation_state":"computed","paper":{"title":"Spin transport of weakly disordered Heisenberg chain at infinite temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.dis-nn","authors_text":"Assa Auerbach, Ilia Khait, Norman Y. Yao, Snir Gazit","submitted_at":"2016-03-21T20:00:08Z","abstract_excerpt":"We study the disordered Heisenberg spin chain, which exhibits many body localization at strong disorder, in the weak to moderate disorder regime. A continued fraction calculation of dynamical correlations is devised, using a variational extrapolation of recurrents. Good convergence for the infinite chain limit is shown. We find that the local spin correlations decay at long times as $C \\sim t^{-\\beta}$, while the conductivity exhibits a low frequency power law $\\sigma \\sim \\omega^{\\alpha}$. The exponents depict sub-diffusive behavior $ \\beta < 1/2, \\alpha> 0 $ at all finite disorders, and conv"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1603.06588","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-03-21T20:00:08Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"38e9c15a3c97817420fae835f48879e7decd02c05e3096d93ea3d9fdbcc2cda7","abstract_canon_sha256":"f578e971e79e4a7479febc7c4c875e394647955d540c17e31dee3b45d0ecd342"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:04.189000Z","signature_b64":"75Vd8N7TFDy8OboTY/UsD6rPpvadYDfHFkZQupB8nYCGGqxV9ggBbUQ3M/KYJrv+wGMM/09mB/8JM8dPGgK0BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c35a46411aa21cf87294fd921dfc48b9c7311092538d0d3172785b063f7ee18","last_reissued_at":"2026-05-18T01:12:04.188605Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:04.188605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin transport of weakly disordered Heisenberg chain at infinite temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.dis-nn","authors_text":"Assa Auerbach, Ilia Khait, Norman Y. Yao, Snir Gazit","submitted_at":"2016-03-21T20:00:08Z","abstract_excerpt":"We study the disordered Heisenberg spin chain, which exhibits many body localization at strong disorder, in the weak to moderate disorder regime. A continued fraction calculation of dynamical correlations is devised, using a variational extrapolation of recurrents. Good convergence for the infinite chain limit is shown. We find that the local spin correlations decay at long times as $C \\sim t^{-\\beta}$, while the conductivity exhibits a low frequency power law $\\sigma \\sim \\omega^{\\alpha}$. The exponents depict sub-diffusive behavior $ \\beta < 1/2, \\alpha> 0 $ at all finite disorders, and conv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06588","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1603.06588","created_at":"2026-05-18T01:12:04.188677+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.06588v2","created_at":"2026-05-18T01:12:04.188677+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06588","created_at":"2026-05-18T01:12:04.188677+00:00"},{"alias_kind":"pith_short_12","alias_value":"PQ22IZARVIQ4","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PQ22IZARVIQ47BZJ","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PQ22IZAR","created_at":"2026-05-18T12:30:39.010887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PQ22IZARVIQ47BZJJ7MSDX6ERO","json":"https://pith.science/pith/PQ22IZARVIQ47BZJJ7MSDX6ERO.json","graph_json":"https://pith.science/api/pith-number/PQ22IZARVIQ47BZJJ7MSDX6ERO/graph.json","events_json":"https://pith.science/api/pith-number/PQ22IZARVIQ47BZJJ7MSDX6ERO/events.json","paper":"https://pith.science/paper/PQ22IZAR"},"agent_actions":{"view_html":"https://pith.science/pith/PQ22IZARVIQ47BZJJ7MSDX6ERO","download_json":"https://pith.science/pith/PQ22IZARVIQ47BZJJ7MSDX6ERO.json","view_paper":"https://pith.science/paper/PQ22IZAR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.06588&json=true","fetch_graph":"https://pith.science/api/pith-number/PQ22IZARVIQ47BZJJ7MSDX6ERO/graph.json","fetch_events":"https://pith.science/api/pith-number/PQ22IZARVIQ47BZJJ7MSDX6ERO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PQ22IZARVIQ47BZJJ7MSDX6ERO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PQ22IZARVIQ47BZJJ7MSDX6ERO/action/storage_attestation","attest_author":"https://pith.science/pith/PQ22IZARVIQ47BZJJ7MSDX6ERO/action/author_attestation","sign_citation":"https://pith.science/pith/PQ22IZARVIQ47BZJJ7MSDX6ERO/action/citation_signature","submit_replication":"https://pith.science/pith/PQ22IZARVIQ47BZJJ7MSDX6ERO/action/replication_record"}},"created_at":"2026-05-18T01:12:04.188677+00:00","updated_at":"2026-05-18T01:12:04.188677+00:00"}